2.1470   ODE No. 1470

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y^{(3)}(x)-\sin (x) y''(x)-2 \cos (x) y'(x)+y(x) \sin (x)-\log (x)=0 \] Mathematica : cpu = 3.90851 (sec), leaf count = 64

\[\left \{\left \{y(x)\to e^{-\cos (x)} \int _1^x\frac {1}{4} e^{\cos (K[1])} \left (2 \log (K[1]) K[1]^2-3 K[1]^2+4 c_1 K[1]+4 c_2\right )dK[1]+c_3 e^{-\cos (x)}\right \}\right \}\] Maple : cpu = 0.094 (sec), leaf count = 36

\[\left \{y \left (x \right ) = \left (c_{3}+\int \left (\frac {x^{2} \ln \left (x \right )}{2}+2 c_{1} x -\frac {3 x^{2}}{4}+c_{2}\right ) {\mathrm e}^{\cos \left (x \right )}d x \right ) {\mathrm e}^{-\cos \left (x \right )}\right \}\]